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arXiv · 2412.10880

Huygens and $\pi$

Mark B. Villarino·Joseph C. Varilly
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Abstract

The Dutch scientist Christiaan Huygens refined Archimedes' celebrated geometrical computation of $\pi$ to its highest point. Yet the rich content of his beautiful treatise \emph{De circuli magnitudine inventa} (1654) has apparently never been presented in modern form. Here we offer a detailed and contemporary development of several of his most striking results. We also make a historical conjecture concerning Archimedes' trisection figure.

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Mark B. Villarino, Joseph C. Varilly. 2024-12-14. Huygens and $\pi$. https://arxiv.org/abs/2412.10880

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